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Finding the Fourth Proportional to 128,127,744,009.72, 192,191,616,014.60 and 128,127,744,009.72

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Solution

The fourth proportional to 128,127,744,009.72, 192,191,616,014.60 and 128,127,744,009.72 is: 192,191,616,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127,744,009.72 : 192,191,616,014.60 = 128,127,744,009.72 : x
  2. Step 2: Convert to fraction form
    128,127,744,009.72/192,191,616,014.60 = 128,127,744,009.72/x
  3. Step 3: Cross multiply
    128,127,744,009.72x = 192,191,616,014.60 × 128,127,744,009.72
  4. Step 4: Simplify right side
    128,127,744,009.72x = 24,625,078,177,533,070,934,016
  5. Step 5: Solve for x
    x = 24,625,078,177,533,070,934,016/128,127,744,009.72
  6. Step 6: Final answer
    x = 192,191,616,014.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.